102024013 has 8 divisors (see below), whose sum is σ = 125568128. Its totient is φ = 80722224.

The previous prime is 102024011. The next prime is 102024017. The reversal of 102024013 is 310420201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102024013 - 2¹ = 102024011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 102023984 and 102024002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102024011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 560481 + ... + 560662.

It is an arithmetic number, because the mean of its divisors is an integer number (15696016).

Almost surely, 2^102024013 is an apocalyptic number.

102024013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102024013 is a deficient number, since it is larger than the sum of its proper divisors (23544115).

102024013 is a wasteful number, since it uses less digits than its factorization.

102024013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121163.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 102024013 is about 10100.6936890493. The cubic root of 102024013 is about 467.2695355239.

Adding to 102024013 its reverse (310420201), we get a palindrome (412444214).

The spelling of 102024013 in words is "one hundred two million, twenty-four thousand, thirteen".